JEE Main asks 1-2 questions from Binomial Theorem annually. Distribution: coefficient finding (30%), binomial coefficient sums (25%), independent term/rational terms (20%), remainder/divisibility (15%), greatest term (10%).

Most common PYQ type: "Find the coefficient of $x^k$ in (expression)^n." This tests general term mastery. Variations include products of binomials, expressions with negative powers, and trinomials.

Second most common: "Evaluate a sum involving binomial coefficients." Tests knowledge of standard identities (substitution, differentiation, Vandermonde). The differentiation identity n2^{n-1} = sum rC(n,r) is the single most tested result.

Third type: "Find the term independent of x / number of rational terms / middle term." These are direct applications of the general term with specific constraints.

Numerical answer type: Often asks for a specific value (like sum $r^2$*C(n,r) for given n) or a remainder. These require precise computation without multiple-choice elimination.

Key formulas to memorize:

1. $T_{r+1}$ = C(n,r)$x^{n-r}$$y^r$
2. Sum of coefficients: 2^n, alternating: 0, even/odd indexed: 2^{n-1}
3. sum rC(n,r) = n2^{n-1}
4. sum $r^2$*C(n,r) = n(n+1)*2^{n-2}
5. sum C(n,r)^2 = C(2n,n)
6. sum C$\frac{n,r}{(r+1)}$ = $\frac{2^{n+1}-1}{(n+1)}$
7. (1-x)^{-n} coefficient of $x^r$ = C(n+r-1, r)

Time management: Binomial problems typically take 2-3 minutes. Avoid expanding large expressions manually; use identities and algebraic tricks.